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a
p→(p→q)
b
p→(p∨q)
c
p→(p∧q)
d
p→(p↔q)
answer is B.
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Detailed Solution
p→(q→p)≡∼p∨(q→p)≡(~p)∨(~q∨p)≡(~q)∨(p∨~p)≡(~q)∨T=T∴ p→(q→p) is a tautology. Also p→(p∨q)≡∼p∨(p∨q)≡(~p∨p)∨q≡T∨q=T∴ ρ→(p∨q) ) is also a tautologyThus, p→(q→p) is equivalent to p→(p∨q)